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Finding the Fourth Proportional to 254.34, 350.93 and 161.06

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Solution

The fourth proportional to 254.34, 350.93 and 161.06 is: 222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.34 : 350.93 = 161.06 : x
  2. Step 2: Convert to fraction form
    254.34/350.93 = 161.06/x
  3. Step 3: Cross multiply
    254.34x = 350.93 × 161.06
  4. Step 4: Simplify right side
    254.34x = 56,520.79
  5. Step 5: Solve for x
    x = 56,520.79/254.34
  6. Step 6: Final answer
    x = 222.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.